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Finding the Fourth Proportional to 101,714.40, 152,463.60 and 49,089.60

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Solution

The fourth proportional to 101,714.40, 152,463.60 and 49,089.60 is: 73,582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,714.40 : 152,463.60 = 49,089.60 : x
  2. Step 2: Convert to fraction form
    101,714.40/152,463.60 = 49,089.60/x
  3. Step 3: Cross multiply
    101,714.40x = 152,463.60 × 49,089.60
  4. Step 4: Simplify right side
    101,714.40x = 7,484,377,138.56
  5. Step 5: Solve for x
    x = 7,484,377,138.56/101,714.40
  6. Step 6: Final answer
    x = 73,582.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.